100842272 has 48 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 46967040.

The previous prime is 100842263. The next prime is 100842311. The reversal of 100842272 is 272248001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35729 + ... + 38447.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^100842272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

100842272 is an abundant number, since it is smaller than the sum of its proper divisors (111644128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100842272 is a wasteful number, since it uses less digits than its factorization.

100842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 100842272 is about 10042.0252937343. The cubic root of 100842272 is about 465.4584017717.

The spelling of 100842272 in words is "one hundred million, eight hundred forty-two thousand, two hundred seventy-two".